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Finding the Fourth Proportional to 105,562.70, 158,303.95 and 34,468.46

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Solution

The fourth proportional to 105,562.70, 158,303.95 and 34,468.46 is: 51,689.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,562.70 : 158,303.95 = 34,468.46 : x
  2. Step 2: Convert to fraction form
    105,562.70/158,303.95 = 34,468.46/x
  3. Step 3: Cross multiply
    105,562.70x = 158,303.95 × 34,468.46
  4. Step 4: Simplify right side
    105,562.70x = 5,456,493,368.42
  5. Step 5: Solve for x
    x = 5,456,493,368.42/105,562.70
  6. Step 6: Final answer
    x = 51,689.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.